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- Title
On Some Aspects of Evolution of Generalized Allocation Schemes.
- Authors
Kolchin, A. V.; Bezrodnyy, B. F.; Leeva, M. A.
- Abstract
We make an attempt to portray the current situation in the probabilistic combinatorics field, where the so-called generalized allocation scheme has been utilized. We give a series of limit theorems for sums of independent identically distributed non-negative integer-valued random variables that find their application in the generalized allocation scheme. We say a word about the phenomenon of transition of the distribution of sums of independent identically distributed integer-valued random variables from one lattice to another in the context of the generalized allocation scheme, and give several examples of how to reduce a combinatorial problem to some kind of generalized scheme of allocating particles to cells.
- Subjects
LIMIT theorems; COMBINATORICS; RANDOM variables
- Publication
Journal of Mathematical Sciences, 2022, Vol 267, Issue 2, p246
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-022-06131-0